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[null,"1.","Record Nr.",null,"UNISA996466498003316"]
[null,null,"Autore",null,"Fischer Jürgen"]
[null,null,"Titolo",null,"An approach to the Selberg trace formula via the Selberg zeta-function / / Jurgen Fischer"]
[null,null,"Pubbl/distr/stampa",null,"Berlin : , : Springer-Verlag, , 1987"]
[null,null,"ISBN",null,"3-540-39331-5"]
[null,null,"Edizione",null,"[1st ed. 1987.]"]
[null,null,"Descrizione fisica",null,"1 online resource (IV, 188 p.)"]
[null,null,"Collana",null,"Lecture notes in mathematics (Springer-Verlag) ; ; 1253"]
[null,null,"Disciplina",null,"515.56"]
[null,null,"Soggetti",null,"Functions, Zeta"]
[{"$nulls":4},"Number theory"]
[{"$nulls":4},"Selberg trace formula"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and indexes."]
[null,null,"Nota di contenuto",null,"Basic facts -- The trace of the iterated resolvent kernel -- The entire function ? associated with the selberg zeta-function -- The general selberg trace formula."]
[null,null,null,"Sommario/riassunto","The Notes give a direct approach to the Selberg zeta-function for cofinite discrete subgroups of SL (2,#3) acting on the upper half-plane. The basic idea is to compute the trace of the iterated resolvent kernel of the hyperbolic Laplacian in order to arrive at the logarithmic derivative of the Selberg zeta-function. Previous knowledge of the Selberg trace formula is not assumed. The theory is developed for arbitrary real weights and for arbitrary multiplier systems permitting an approach to known results on classical automorphic forms without the Riemann-Roch theorem. The author's discussion of the Selberg trace formula stresses the analogy with the Riemann zeta-function. For example, the canonical factorization theorem involves an analogue of the Euler constant. Finally the general Selberg trace formula is deduced easily from the properties of the Selberg zeta-function: this is similar to the procedure in analytic number theory where the explicit formulae are deduced from the properties of the Riemann zeta-function. Apart from the basic spectral theory of the Laplacian for cofinite groups the book is self-contained and will be useful as a quick approach to the Selberg zeta-function and the Selberg trace formula."]
[null,"2.","Record Nr.",null,"UNINA9910337872103321"]
[null,null,"Autore",null,"Beech Martin"]
[null,null,"Titolo",null,"Introducing the Stars : Formation, Structure and Evolution / / by Martin Beech"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019"]
[null,null,"ISBN",null,"3-030-11704-9"]
[null,null,"Edizione",null,"[1st ed. 2019.]"]
[null,null,"Descrizione fisica",null,"1 online resource (XIV, 262 p. 90 illus., 49 illus. in color.)"]
[null,null,"Collana",null,"Undergraduate Lecture Notes in Physics, , 2192-4791"]
[null,null,"Disciplina",null,"523.01"]
[null,null,"Soggetti",null,"Astrophysics"]
[{"$nulls":4},"Space sciences"]
[{"$nulls":4},"Physics"]
[{"$nulls":4},"Astrophysics and Astroparticles"]
[{"$nulls":4},"Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics)"]
[{"$nulls":4},"Mathematical Methods in Physics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Includes index."]
[null,null,"Nota di contenuto",null,"Introduction -- Chapter 1: Knowing the Stars -- Chapter 2: Star Formation -- Chapter 3: From The Outside In -- Chapter 4: From The Inside Out -- Chapter 5: The Ravages of Time -- Chapter 6: Selected Case Studies -- Appendix A : The 4th Order Runge-Kutta (RK4) Integration Scheme -- Index."]
[null,null,null,"Sommario/riassunto","This textbook introduces the reader to the basic concepts and equations that describe stellar structure. Various approximation techniques are used to solve equations, and an intuitive rather than rigorous approach is employed to interpret the properties of the stars. The book provides step-by-step instructions, helpful exercises and relevant historical lessons to familiarize students with key concepts and mathematical theories. Based upon a series of one-semester (12 weeks) elective undergraduate courses offered at the University of Regina, this book is intended for students who are interested in seeing how basic calculus and introductory physics can be applied to the understanding of the stars from their formation to their death. The text provides an intermediate stepping stone between lower-level undergraduate classes and more specialized postgraduate texts on the subject of stellar structure."]